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Journal articles on the topic 'Moore spaces'

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Published: 4 June 2021
Last updated: 1 February 2022

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1

Goncalves, Daciberg Lima, and Marek Golasinski. "On co-Moore spaces." MATHEMATICA SCANDINAVICA 83, no. 1 (September 1, 1998): 42. http://dx.doi.org/10.7146/math.scand.a-13841.

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2

Kahn, Peter J. "Rational Moore G-Spaces." Transactions of the American Mathematical Society 298, no. 1 (November 1986): 245. http://dx.doi.org/10.2307/2000619.

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3

Kahn, Peter J. "Rational Moore $G$-spaces." Transactions of the American Mathematical Society 298, no. 1 (January 1, 1986): 245. http://dx.doi.org/10.1090/s0002-9947-1986-0857443-9.

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4

Anick, David, and Brayton Gray. "Small H spaces related to Moore spaces." Topology 34, no. 4 (October 1995): 859–81. http://dx.doi.org/10.1016/0040-9383(95)00001-1.

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5

Ayala, R., E. Dominguez, A. Marquez, and A. Quintero. "Moore spaces in proper homotopy." Tsukuba Journal of Mathematics 19, no. 2 (December 1995): 305–27. http://dx.doi.org/10.21099/tkbjm/1496162871.

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6

Doman, Ryszard. "Moore G-Spaces Which are not Co-Hopf G-Spaces." Canadian Mathematical Bulletin 32, no. 3 (September 1, 1989): 365–68. http://dx.doi.org/10.4153/cmb-1989-053-9.

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AbstractLet G be a finite group. By a Moore G-space we mean a G-space X such that for each subgroup H of G the fixed point space XH is a simply connected Moore space of type (MH,n), where MH is an abelian group depending on H, and n is a fixed integer. By a co-Hopf G-space we mean a G-space with a G-equivariant comultiplication. In this note it is shown that, in contrast to the non-equivariant case, there exist Moore G-spaces which are not co-Hopf G-spaces.
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7

Stelzer, Manfred. "On certain co–H spaces related to Moore spaces." Transactions of the American Mathematical Society 354, no. 8 (March 29, 2002): 3085–93. http://dx.doi.org/10.1090/s0002-9947-02-02995-1.

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8

MORISUGI, Kaoru, and Juno MUKAI. "Lifting to mod $2$ Moore spaces." Journal of the Mathematical Society of Japan 52, no. 3 (July 2000): 515–33. http://dx.doi.org/10.2969/jmsj/05230515.

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9

Theriault, Stephen D. "Homotopy exponents of mod2r Moore spaces." Topology 47, no. 6 (November 2008): 369–98. http://dx.doi.org/10.1016/j.top.2007.09.002.

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10

Mary, Xavier. "Moore-Penrose Inverse in Kreĭn Spaces." Integral Equations and Operator Theory 60, no. 3 (February 9, 2008): 419–33. http://dx.doi.org/10.1007/s00020-008-1562-0.

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11

Dydak, Jerzy, and Michael Levin. "Extensions of maps to Moore spaces." Israel Journal of Mathematics 207, no. 2 (March 28, 2015): 981–1000. http://dx.doi.org/10.1007/s11856-015-1190-8.

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12

FEARNLEY, DAVID L., and LAWRENCE FEARNLEY. "ON DENSE EMBEDDINGS INTO MOORE SPACES WITH THE BAIRE PROPERTY." Bulletin of the Australian Mathematical Society 83, no. 1 (October 29, 2010): 1–10. http://dx.doi.org/10.1017/s0004972710000419.

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AbstractWe demonstrate a construction that will densely embed a Moore space into a Moore space with the Baire property when this is possible. We also show how this technique generates a new ‘if and only if’ condition for determining when Moore spaces can be densely embedded in Moore spaces with the Baire property, and briefly discuss how this condition can can be used to generate new proofs that certain Moore spaces cannot be densely embedded in Moore spaces with the Baire property.
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13

Theriault, Stephen D. "Anick’s spaces and the double loops of odd primary Moore spaces." Transactions of the American Mathematical Society 353, no. 4 (October 11, 2000): 1551–66. http://dx.doi.org/10.1090/s0002-9947-00-02622-2.

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14

RUTIER, JOHN W. "HOMOTOPY SELF-EQUIVALENCE GROUPS OF UNIONS OF SPACES: INCLUDING MOORE-SPACES." Quaestiones Mathematicae 13, no. 3-4 (January 1990): 321–34. http://dx.doi.org/10.1080/16073606.1990.9631963.

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15

Arkowitz, Martin, and Marek Golasiński. "Co-H-structures on equivariant Moore spaces." Fundamenta Mathematicae 146, no. 1 (1994): 59–67. http://dx.doi.org/10.4064/fm-146-1-59-67.

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16

Fiedler, Miroslav. "Moore–Penrose biorthogonal systems in Euclidean spaces." Linear Algebra and its Applications 362 (March 2003): 137–43. http://dx.doi.org/10.1016/s0024-3795(02)00510-4.

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17

van Douwen, E. K., and G. M. Reed. "On chain conditions in Moore spaces II." Topology and its Applications 39, no. 1 (April 1991): 65–69. http://dx.doi.org/10.1016/0166-8641(91)90076-x.

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18

Yalçın, Ergün. "Equivariant Moore spaces and the Dade group." Advances in Mathematics 309 (March 2017): 209–37. http://dx.doi.org/10.1016/j.aim.2017.01.017.

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19

Neisendorfer, Joseph. "James-Hopf Invariants, Anick’s Spaces, and the Double Loops on Odd Primary Moore Spaces." Canadian Mathematical Bulletin 43, no. 2 (June 1, 2000): 226–35. http://dx.doi.org/10.4153/cmb-2000-030-9.

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AbstractUsing spaces introduced by Anick, we construct a decomposition into indecomposable factors of the double loop spaces of odd primary Moore spaces when the powers of the primes are greater than the first power. If n is greater than 1, this implies that the odd primary part of all the homotopy groups of the 2n + 1 dimensional sphere lifts to a mod pr Moore space.
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20

Radojevic, Ivana, and Dragan Djordjevic. "Moore-Penrose inverse in indefinite inner product spaces." Filomat 31, no. 12 (2017): 3847–57. http://dx.doi.org/10.2298/fil1712847r.

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We present the definition and some properties for the Moore-Penrose inverse in possibly degenerate indefinite inner product spaces. The extensions of appropriate results, given for matrices in Euclidean and nondegenerate indefinite inner product spaces are established. All this is done by using the concept of linear relations.
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21

Fearnley, David L. "Metrisation of Moore spaces and abstract topological manifolds." Bulletin of the Australian Mathematical Society 56, no. 3 (December 1997): 395–401. http://dx.doi.org/10.1017/s0004972700031178.

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The problem of metrising abstract topological spaces constitutes one of the major themes of topology. Since, for each new significant class of topological spaces this question arises, the problem is always current. One of the famous metrisation problems is the Normal Moore Space Conjecture. It is known from relatively recent work that one must add special conditions in order to be able to get affirmative results for this problem. In this paper we establish such special conditions. Since these conditions are characterised by local simplicity and global coherence they are referred to in this paper generically as “abstract topological manifolds.” In particular we establish a generalisation of a classical development of Bing, giving a proof which is complete in itself, not depending on the result or arguments of Bing. In addition we show that the spaces recently developed by Collins designated as “W satisfying open G(N)” are metrisable if they are locally separable and locally connected and regular. Finally, we establish a new necessary and sufficient condition for spaces to be metrisable.
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22

Golasiński, Marek, and Daciberg Gonçalves. "Comultiplications of the Wedge of Two Moore Spaces." Colloquium Mathematicum 76, no. 2 (1998): 229–42. http://dx.doi.org/10.4064/cm-76-2-229-242.

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23

Lee, Dae-Woong. "Comultiplications on the Localized Spheres and Moore Spaces." Mathematics 8, no. 1 (January 5, 2020): 86. http://dx.doi.org/10.3390/math8010086.

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Any nilpotent CW-space can be localized at primes in a similar way to the localization of a ring at a prime number. For a collection P of prime numbers which may be empty and a localization X P of a nilpotent CW-space X at P , we let | C ( X ) | and | C ( X P ) | be the cardinalities of the sets of all homotopy comultiplications on X and X P , respectively. In this paper, we show that if | C ( X ) | is finite, then | C ( X ) | ≥ | C ( X P ) | , and if | C ( X ) | is infinite, then | C ( X ) | = | C ( X P ) | , where X is the k-fold wedge sum ⋁ i = 1 k S n i or Moore spaces M ( G , n ) . Moreover, we provide examples to concretely determine the cardinality of homotopy comultiplications on the k-fold wedge sum of spheres, Moore spaces, and their localizations.
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24

Wei, Yimin, and Jiu Ding. "Representations for Moore-Penrose inverses in Hilbert spaces." Applied Mathematics Letters 14, no. 5 (2001): 599–604. http://dx.doi.org/10.1016/s0893-9659(00)00200-7.

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25

Smith, Justin R. "Equivariant Moore spaces II. The low-dimensional case." Journal of Pure and Applied Algebra 36 (1985): 187–204. http://dx.doi.org/10.1016/0022-4049(85)90070-2.

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26

Gaucher, Philippe. "Homotopy theory of Moore flows (I)." Compositionality 3 (August 30, 2021): 3. http://dx.doi.org/10.32408/compositionality-3-3.

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A reparametrization category is a small topologically enriched symmetric semimonoidal category such that the semimonoidal structure induces a structure of a commutative semigroup on objects, such that all spaces of maps are contractible and such that each map can be decomposed (not necessarily in a unique way) as a tensor product of two maps. A Moore flow is a small semicategory enriched over the closed semimonoidal category of enriched presheaves over a reparametrization category. We construct the q-model category of Moore flows. It is proved that it is Quillen equivalent to the q-model category of flows. This result is the first step to establish a zig-zag of Quillen equivalences between the q-model structure of multipointed d-spaces and the q-model structure of flows.
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27

Mikhailov, Roman, and Jie Wu. "On the metastable homotopy of mod 2 Moore spaces." Algebraic & Geometric Topology 16, no. 3 (July 1, 2016): 1773–97. http://dx.doi.org/10.2140/agt.2016.16.1773.

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28

Cook, H., and G. M. Reed. "On the non-productivity of normality in Moore spaces." Proceedings of the American Mathematical Society 127, no. 3 (1999): 875–80. http://dx.doi.org/10.1090/s0002-9939-99-04051-4.

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29

Cohen, Frederick R., Roman Mikhailov, and Jie Wu. "A combinatorial approach to the exponents of Moore spaces." Mathematische Zeitschrift 290, no. 1-2 (January 4, 2018): 289–305. http://dx.doi.org/10.1007/s00209-017-2018-5.

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30

Kurmayya, T., and K. C. Sivakumar. "Nonnegative Moore-Penrose inverses of operators over Hilbert spaces." Positivity 12, no. 3 (March 1, 2008): 475–81. http://dx.doi.org/10.1007/s11117-007-2173-8.

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31

Stephenson, R. M. "Moore-closed and first countable feebly compact extension spaces." Topology and its Applications 27, no. 1 (October 1987): 11–28. http://dx.doi.org/10.1016/0166-8641(87)90054-x.

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32

Pablos Romo, Fernando, and Víctor Cabezas Sánchez. "Moore-Penrose inverse of some linear maps on infinite-dimensional vector spaces." Electronic Journal of Linear Algebra 36, no. 36 (August 24, 2020): 570–86. http://dx.doi.org/10.13001/ela.2020.4979.

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The aim of this work is to characterize linear maps of infinite-dimensional inner product spaces where the Moore-Penrose inverse exists. This MP inverse generalizes the well-known Moore-Penrose inverse of a matrix $A\in \text{Mat}_{n\times m} ({\mathbb C})$. Moreover, a method for the computation of the MP inverse of some endomorphisms on infinite-dimensional vector spaces is given. As an application, the least norm solution of an infinite linear system from the Moore-Penrose inverse offered is studied.
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33

Doman, Ryszard. "Non-G-Equivalent Moore G-Spaces of the Same Type." Proceedings of the American Mathematical Society 103, no. 4 (August 1988): 1317. http://dx.doi.org/10.2307/2047132.

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34

Watson, Francis. "Spaces Sacred and Profane: Stephen Moore, Sex and the Bible." Journal for the Study of the New Testament 25, no. 1 (September 2002): 109–17. http://dx.doi.org/10.1177/0142064x0202500106.

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35

Stelzer, Manfred. "Hyperbolic spaces at large primes and a conjecture of Moore." Topology 43, no. 3 (May 2004): 667–75. http://dx.doi.org/10.1016/j.top.2003.09.003.

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36

Arkowitz, Martin, and Marek Golasinski. "Co-H-Structures on Moore Spaces of Type (G, 2)." Canadian Journal of Mathematics 46, no. 4 (August 1, 1994): 673–86. http://dx.doi.org/10.4153/cjm-1994-037-0.

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AbstractWe consider the set (of homotopy classes) of co-H-structures on a Moore space M(G,n), where G is an abelian group and n is an integer ≥ 2. It is shown that for n > 2 the set has one element and for n = 2 the set is in one-one correspondence with Ext(G, G ⊗ G). We make a detailed investigation of the co-H-structures on M(G, 2) in the case G = ℤm, the integers mod m. We give a specific indexing of the co-H-structures on M(ℤm, 2) and of the homotopy classes of maps from M(ℤm, 2) to M(ℤn, 2) by means of certain standard homotopy elements. In terms of this indexing we completely determine the co-H-maps from M{ℤm, 2) to M(ℤn, 2) for each co-H-structure on M(ℤm, 2) and on M(ℤn, 2). This enables us to describe the action of the group of homotopy equivalences of M(ℤn, 2) on the set of co-H-structures of M(ℤm, 2). We prove that the action is transitive. From this it follows that if m is odd, all co-H-structures on M(ℤm, 2) are associative and commutative, and if m is even, all co-H-structures on M(ℤm, 2) are associative and non-commutative.
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37

Doman, Ryszard. "Non-$G$-equivalent Moore $G$-spaces of the same type." Proceedings of the American Mathematical Society 103, no. 4 (April 1, 1988): 1317. http://dx.doi.org/10.1090/s0002-9939-1988-0955029-6.

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38

Vogel, Pierre. "A solution of the Steenrod problem for G-Moore spaces." K-Theory 1, no. 4 (July 1987): 325–35. http://dx.doi.org/10.1007/bf00539621.

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39

Choi, Ho Won, and Kee Young Lee. "Certain self-homotopy equivalences on wedge products of Moore spaces." Pacific Journal of Mathematics 272, no. 1 (October 9, 2014): 35–57. http://dx.doi.org/10.2140/pjm.2014.272.35.

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40

Neumann, Frank. "On the cohomology of homogeneous spaces of finite loop spaces and the Eilenberg–Moore spectral sequence." Journal of Pure and Applied Algebra 140, no. 3 (August 1999): 261–87. http://dx.doi.org/10.1016/s0022-4049(98)00013-9.

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41

Neisendorfer, Joseph. "PRODUCT DECOMPOSITIONS OF THE DOUBLE LOOPS ON ODD PRIMARY MOORE SPACES." Topology 38, no. 6 (November 1999): 1293–311. http://dx.doi.org/10.1016/s0040-9383(98)00055-x.

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42

Bennett, H. R., D. J. Lutzer, and G. M. Reed. "Domain representability and the Choquet game in Moore and BCO-spaces." Topology and its Applications 155, no. 5 (January 2008): 445–58. http://dx.doi.org/10.1016/j.topol.2007.10.005.

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43

Mcintyre, David W. "Compact-calibres of regular and monotonically normal spaces." International Journal of Mathematics and Mathematical Sciences 29, no. 4 (2002): 209–16. http://dx.doi.org/10.1155/s0161171202011365.

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A topological space has calibreω1(resp., calibre(ω1,ω)) if every point-countable (resp., point-finite) collection of nonempty open sets is countable. It has compact-calibreω1(resp., compact-calibre(ω1,ω)) if, for every family of uncountably many nonempty open sets, there is some compact set which meets uncountably many (resp., infinitely many) of them. It has CCC (resp., DCCC) if every disjoint (resp., discrete) collection of nonempty open sets is countable. The relative strengths of these six conditions are determined for Moore spaces, regular first countable spaces, linearly-ordered spaces, and arbitrary regular spaces. It is shown that the relative strengths for spaces with point-countable bases are the same as those for Moore spaces, and the relative strengths for linearly-ordered spaces are the same as those for arbitrary monotonically normal spaces.
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44

Taoudi, Mohamed Aziz. "On a Generalization of Partial Isometries in Banach Spaces." gmj 15, no. 1 (March 2008): 177–88. http://dx.doi.org/10.1515/gmj.2008.177.

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Abstract This paper is concerned with the definition and study of semipartial isometries on Banach spaces. This class of operators, which is a natural generalization of partial isometries from Hilbert to general Banach spaces, contains in particular the class of partial isometries recently introduced by M. Mbekhta [Acta Sci. Math. (Szeged) 70: 767–781, 2004]. First of all, we establish some basic properties of semi-partial isometries. Next, we introduce the notion of pseudo Moore–Penrose inverse as a natural generalization of the Moore–Penrose inverse from Hilbert spaces to arbitrary Banach spaces. This concept is used to carry out a classification for semi-partial isometries in Banach spaces and to provide a characterization for Hilbert spaces.
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45

Malik, Saroj, and Néstor Thome. "On a revisited Moore-Penrose inverse of a linear operator on Hilbert spaces." Filomat 31, no. 7 (2017): 1927–31. http://dx.doi.org/10.2298/fil1707927m.

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For two given Hilbert spaces H and K and a given bounded linear operator A ? L(H,K) having closed range, it is well known that the Moore-Penrose inverse of A is a reflexive g-inverse G ? L(K,H) of A which is both minimum norm and least squares. In this paper, weaker equivalent conditions for an operator G to be the Moore-Penrose inverse of A are investigated in terms of normal, EP, bi-normal, bi-EP, l-quasi-normal and r-quasi-normal and l-quasi-EP and r-quasi-EP operators.
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46

Tzannes, V. "Two Moore spaces on which every continuous real-valued function is constant." Tsukuba Journal of Mathematics 16, no. 1 (June 1992): 203–10. http://dx.doi.org/10.21099/tkbjm/1496161840.

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47

Masson, Dominique. "Caroline Andrew et Beth Moore Milroy, éds, Life Spaces : Gender, Household, Employment." Recherches féministes 2, no. 1 (1989): 141. http://dx.doi.org/10.7202/057542ar.

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48

Zhang, Xian. "Additive Maps Preserving Moore–Penrose Inverses of Matrices on Symmetric Matrix Spaces." Linear and Multilinear Algebra 52, no. 5 (September 2004): 349–58. http://dx.doi.org/10.1080/03081080410001667825.

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49

Eklof, Paul C., and Saharon Shelah. "The structure of Ext(A, Z) and GCH: possible co-Moore spaces." Mathematische Zeitschrift 239, no. 1 (January 1, 2002): 143–57. http://dx.doi.org/10.1007/s002090100288.

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50

Maslyuchenko, V. K., V. V. Mykhailyuk, and O. I. Filipchuk. "Joint continuity of K h C-functions with values in moore spaces." Ukrainian Mathematical Journal 60, no. 11 (November 2008): 1803–12. http://dx.doi.org/10.1007/s11253-009-0170-8.

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